TSTP Solution File: NUM328+1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM328+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 14:07:51 EDT 2022

% Result   : Theorem 21.82s 22.00s
% Output   : Refutation 21.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :   13 (   0 equ;   8 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-4 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   13 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn0) ).

cnf(291,axiom,
    ( ~ rdn_translate(X,rdn_pos(Y))
    | ~ rdn_translate(Z,rdn_pos(U))
    | ~ rdn_add_with_carry(rdnn(n0),Y,U,V)
    | ~ rdn_translate(W,rdn_pos(V))
    | sum(X,Z,W) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',sum_entry_point_pos_pos) ).

cnf(302,axiom,
    ( ~ rdn_digit_add(rdnn(X),rdnn(Y),rdnn(Z),rdnn(n0))
    | ~ rdn_digit_add(rdnn(Z),rdnn(U),rdnn(V),rdnn(n0))
    | rdn_add_with_carry(rdnn(U),rdnn(X),rdnn(Y),rdnn(V)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',add_digit_digit_digit) ).

cnf(307,axiom,
    rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n0_n0_n0_n0) ).

cnf(407,negated_conjecture,
    ~ sum(X,Y,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_something_anotherthing_firstthing) ).

cnf(33578,plain,
    ~ rdn_add_with_carry(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
    inference('UR-RESOLVE',[status(thm)],[291,1,1,1,407]) ).

cnf(50118,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[302,307,307]),33578]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM328+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jul  6 03:04:19 EDT 2022
% 0.19/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T03:04:19
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-06T03:04:19
% 0.19/0.54  
% 21.82/22.00  ; Recognized relation functionality assertion (OR (NOT (|sum| ?X ?Y ?Z)) (NOT (|sum| ?X ?Y ?U)) (= ?Z ?U)).
% 21.82/22.00  
% 21.82/22.00  #||
% 21.82/22.00  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.82/22.00  % SZS output start Refutation
% See solution above
% 21.82/22.00  ||#
% 21.82/22.00  
% 21.82/22.00  ; Summary of computation:
% 21.82/22.00  ;     83253 formulas have been input or derived (from 403 formulas).
% 21.82/22.00  ;     50118 (60%) were retained.  Of these,
% 21.82/22.00  ;        50118 (100%) are still being kept.
% 21.82/22.00  ; 
% 21.82/22.00  ; Run time in seconds:
% 21.82/22.00  ;     0.059   0%   Read assertion file          (1 call)
% 21.82/22.00  ;     0.006   0%   Assert                       (402 calls)
% 21.82/22.00  ;     2.030   9%   Process new row              (82,807 calls)
% 21.82/22.00  ;    18.442  86%   Resolution                   (804 calls)
% 21.82/22.00  ;     0.003   0%   Paramodulation               (402 calls)
% 21.82/22.00  ;     0.000   0%   Factoring                    (1 call)
% 21.82/22.00  ;     0.001   0%   Condensing                   (36 calls)
% 21.82/22.00  ;     0.001   0%   Forward subsumption          (36 calls)
% 21.82/22.00  ;     0.000   0%   Backward subsumption         (33 calls)
% 21.82/22.00  ;     0.000   0%   Clause clause subsumption    (12 calls)
% 21.82/22.00  ;     0.475   2%   Forward simplification       (82,807 calls)
% 21.82/22.00  ;     0.235   1%   Backward simplification      (50,118 calls)
% 21.82/22.00  ;     0.000   0%   Ordering                     (31 calls)
% 21.82/22.00  ;     0.000   0%   Sortal reasoning             (32 calls)
% 21.82/22.00  ;     0.001   0%   Purity testing               (1 call)
% 21.82/22.00  ;     0.279   1%   Other
% 21.82/22.00  ;    21.532        Total
% 21.82/22.00  ;    21.535        Real time
% 21.82/22.00  ; 
% 21.82/22.00  ; Term-hash-array has 50,578 terms in all.
% 21.82/22.00  ; Feature-vector-row-index has 33 entries (33 at peak, 33 added, 0 deleted).
% 21.82/22.00  ; Feature-vector-row-index has 155 nodes (155 at peak, 155 added, 0 deleted).
% 21.82/22.00  ;  Retrieved 9 possibly forward subsuming rows in 36 calls.
% 21.82/22.00  ;  Retrieved 3 possibly backward subsumed rows in 33 calls.
% 21.82/22.00  ; Path-index has 50,834 entries (50,834 at peak, 50,834 added, 0 deleted).
% 21.82/22.00  ; Path-index has 1,721 nodes (1,721 at peak, 1,721 added, 0 deleted).
% 21.82/22.00  ; Trie-index has 50,834 entries (50,834 at peak, 50,834 added, 0 deleted).
% 21.82/22.00  ; Trie-index has 173,853 nodes (173,853 at peak, 173,853 added, 0 deleted).
% 21.82/22.00  ; Retrieved 65,605 generalization terms in 82,877 calls.
% 21.82/22.00  ; Retrieved 50,100 instance terms in 50,084 calls.
% 21.82/22.00  ; Retrieved 30,204,076 unifiable terms in 4,464,542 calls.
% 21.82/22.00  ; 
% 21.82/22.00  ; The agenda of rows to process has 439 entries:
% 21.82/22.00  ;   439 with value 12
% 21.82/22.00  ; The agenda of input rows to give has 5 entries:
% 21.82/22.00  ;     2 with value 35              1 with value 64               1 with value 68
% 21.82/22.00  ;     1 with value 48
% 21.82/22.00  ; The agenda of rows to give has 49710 entries:
% 21.82/22.00  ; 16403 with value (4 5)          91 with value (4 13)         289 with value (4 20)
% 21.82/22.01  ; 16521 with value (4 6)           9 with value (4 15)        8100 with value (4 22)
% 21.82/22.01  ;     8 with value (4 8)         900 with value (4 16)        2899 with value (4 26)
% 21.82/22.01  ;    10 with value (4 9)          29 with value (4 17)        2610 with value (4 29)
% 21.82/22.01  ;   100 with value (4 12)        900 with value (4 19)         841 with value (4 32)
% 21.82/22.01  Evaluation took:
% 21.82/22.01    21.537 seconds of real time
% 21.82/22.01    21.05104 seconds of user run time
% 21.82/22.01    0.48228 seconds of system run time
% 21.82/22.01    [Run times include 1.502 seconds GC run time.]
% 21.82/22.01    0 calls to %EVAL
% 21.82/22.01    0 page faults and
% 21.82/22.01    2,032,674,304 bytes consed.
% 21.82/22.01  :PROOF-FOUND
% 21.82/22.01  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T03:04:41
% 21.82/22.01  :PROOF-FOUND
% 21.82/22.01  * 
%------------------------------------------------------------------------------